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arXiv · 1210.3118

Average position in quantum walks with a U(2) coin

Min Li·YOng-Sheng Zhang·Guang-Can Guo
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Abstract

We investigated discrete-time quantum walks with an arbitary unitary coin. Here we discover that the average position $ =\max( \sin(\alpha+\gamma)$, while the initial state is $1/\sqrt{2}(\mid0L>+i\mid0R>)$. We prove the result and get some symmetry properties of quantum walks with a U(2) coin with $\mid0L>$ and $\mid0R>$ as the initial state.

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Min Li, YOng-Sheng Zhang, Guang-Can Guo. 2012-10-11. Average position in quantum walks with a U(2) coin. https://doi.org/10.1088/1674-1056%2F22%2F3%2F030310

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